Finite element methods (FEM) have emerged as a cornerstone in the simulation and analysis of complex fluid dynamics problems, particularly those involving curved and deformable surfaces. These ...

The book “Uncertain Analysis in Finite Elements Models” explains uncertainty analysis for finite elements and general nonlinear problems. It starts with the fundamentals of the topic and progresses to ...

Methods for treating material and geometric nonlinearities by finite elements; transient analysis: explicit and implicit time integration, partitioned methods, and stability; hybrid and mixed elements ...

This is a preview. Log in through your library . Abstract We construct finite element subspaces of the space of symmetric tensors with square-integrable divergence on a three-dimensional domain. These ...

A very basic example of this can be noted in certain oldest applications of finite elements. More than 2000 years earlier, geometers were keen on finding out the circumference and area of a circle.